Question

Graph the linear inequality. 3) y > 4x-5

Answer 1

To graph the linear inequality we first need to look for the linear equation that is related to it. We need to find two points that belong to that linear equation.

`y=4x-5`

The equation is on the slope-intercept form, so the first point we have is the "y-intercept" of the line on the point (0,-5). The second point we will look for is the one with x = 5. We have:

`\begin{gathered} y=4\cdot5-5 \\ y=20-5 \\ y=15 \end{gathered}`

So the two points are (0, -5) and (5, 15). To graph the quation we need to draw a line between these two points.

But this is only the line, we need to graph the inequality. The value of "y" for the inequality must be treater than the expression for the line, so we need to 'color' all the part of the graph that is above the line.